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Finding the Fourth Proportional to 4,739.34, 6,540.42 and 2,643.60

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Solution

The fourth proportional to 4,739.34, 6,540.42 and 2,643.60 is: 3,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.34 : 6,540.42 = 2,643.60 : x
  2. Step 2: Convert to fraction form
    4,739.34/6,540.42 = 2,643.60/x
  3. Step 3: Cross multiply
    4,739.34x = 6,540.42 × 2,643.60
  4. Step 4: Simplify right side
    4,739.34x = 17,290,254.31
  5. Step 5: Solve for x
    x = 17,290,254.31/4,739.34
  6. Step 6: Final answer
    x = 3,648.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.